Structure of augmentation quotients of finite homocyclic abelian groups
文献类型：期刊论文
| 作者 | Tang, Guo-ping |
| 刊名 | Science in china series a-mathematics
 |
| 出版日期 | 2007-09-01 |
| 卷号 | 50期号:9页码:1280-1288 |
| 关键词 | Integral group ring Augmentation ideal Consecutive quotient of augmentation ideal |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-007-0112-6 |
| 通讯作者 | Tang, guo-ping(tanggp@gucas.ac.cn) |
| 英文摘要 | Let g be a finite abelian group and its sylow p-subgroup a direct product of copies of a cyclic group of order p(r), i.e., a finite homocyclic abelian group. let delta(n) (g) denote the n-th power of the augmentation ideal a(g) of the integral group ring zg. the paper gives an explicit structure of the consecutive quotient group q(n)(g) = delta(n)(g)/delta(n+1)(g) for any natural number n and as a consequence settles a problem of karpilovsky for this particular class of finite abelian groups. |
| WOS关键词 | POWERS ; IDEAL |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000249379200007 |
| 出版者 | SCIENCE PRESS |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2381222 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Tang, Guo-ping |
| 作者单位 | Chinese Acad Sci, Grad Univ, Sch Math, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, Guo-ping. Structure of augmentation quotients of finite homocyclic abelian groups[J]. Science in china series a-mathematics,2007,50(9):1280-1288. |
| APA | Tang, Guo-ping.(2007).Structure of augmentation quotients of finite homocyclic abelian groups.Science in china series a-mathematics,50(9),1280-1288. |
| MLA | Tang, Guo-ping."Structure of augmentation quotients of finite homocyclic abelian groups".Science in china series a-mathematics 50.9(2007):1280-1288. |
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来源：中国科学院大学
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